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Finding the Fourth Proportional to 77,104.48, 106,402.80 and 43,569.76

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Solution

The fourth proportional to 77,104.48, 106,402.80 and 43,569.76 is: 60,125.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,104.48 : 106,402.80 = 43,569.76 : x
  2. Step 2: Convert to fraction form
    77,104.48/106,402.80 = 43,569.76/x
  3. Step 3: Cross multiply
    77,104.48x = 106,402.80 × 43,569.76
  4. Step 4: Simplify right side
    77,104.48x = 4,635,944,459.33
  5. Step 5: Solve for x
    x = 4,635,944,459.33/77,104.48
  6. Step 6: Final answer
    x = 60,125.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.